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55964608 = 267532357
BaseRepresentation
bin1101010101111…
…1001111000000
310220022022000021
43111133033000
5103311331413
65315303224
71246456060
oct325371700
9126268007
1055964608
1129655047
12168aab14
13b79626b
14760b3a0
154da718d
hex355f3c0

55964608 has 56 divisors (see below), whose sum is σ = 129369312. Its totient is φ = 23522304.

The previous prime is 55964599. The next prime is 55964611. The reversal of 55964608 is 80646955.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22566 + ... + 24922.

Almost surely, 255964608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55964608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64684656).

55964608 is an abundant number, since it is smaller than the sum of its proper divisors (73404704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55964608 is a wasteful number, since it uses less digits than its factorization.

55964608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 55964608 is about 7480.9496723344. The cubic root of 55964608 is about 382.5056214020.

The spelling of 55964608 in words is "fifty-five million, nine hundred sixty-four thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 212 224 371 424 448 742 848 1484 1696 2357 2968 3392 4714 5936 9428 11872 16499 18856 23744 32998 37712 65996 75424 124921 131992 150848 249842 263984 499684 527968 874447 999368 1055936 1748894 1998736 3497788 3997472 6995576 7994944 13991152 27982304 55964608